General information
General information
Instructor: Malgorzata Peszynska (Contact information including office hours is on Instructor's website)
Class: MWF 14:00-14:50 STAG 212. On some dates announced on class website the class will meet in MLC Computer Lab Kidd 108C where to work on individual and group projects.
Prerequisites: Solid skills in real variables, linear algebra and differential equations are the prerequisites. Some experience with partial differential equations (PDEs) is recommended. Prior computing experience is not required but students will be expected to grow in their computational and theoretical abilities.
This class is the second one in a year-long sequence MTH 654-656 but classes in this sequence can be taken independently.
(Please contact the Instructor with questions.)
Course content:
  1. Introduction to FEM in 1D and for linear second order elliptic PDEs in 2D and 3D: the theory will include variational formulation of boundary value problems, and error analysis.
  2. Algorithms and implementation aspects of FEM. The students will be provided templates and/or encouraged to work with state-of-the-art FE libraries, individually and/or in groups.
  3. Intermediate topics in FE chosen from: time-dependent, nonlinear, eigenvalue, mixed formulations, and other than classical Galerkin methods will be also discussed.
Course Learning Outcomes: A successful student will be able to
  • Propose an appropriate FE formulation for solving model problems
  • Assess the accuracy of FE solutions using theoretical and practical approaches
  • Use available public domain tools and/or implement own algorithms and/or participate in group projects to solve a FE problem in which more than two of the following are non-elementary: the domain with complicated geometry, the highly varying coefficients, or structure (nonlinear and/or mixed)

  • A. Ern, J.-L. Guermond, "Theory and Practice of Finite Elements", Springer 2004, is recommended (but not required).
  • C. Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method, is a very useful very inexpensive not so introductory text, also on applications.
  • K. Atkinson, W. Han, "Theoretical Numerical Analysis. A Functional Analysis Framework"> Theoretical Numerical Analysis , Third Edition. Springer, 2010, is for those wanting even more math.
  • Many more theoretical and practical FE books are available. If you want more information about books or class, ask me!
    We will also use other notes and materials that will be distributed in class.
    Grading: Grade will be based on the total score from Homework and Projects. Students will be graded on their ability to progress and will be expected to communicate their progress in group and individual projects via journal entries. The platform for submitting Homework and Project journals will be selected and announced by the end of first week of classes.
    Special arrangements for students with disabilities: please contact the instructor and Services for Students with Disabilities prior to or during the first week of the term to discuss accommodations. Students who believe they are eligible for accommodations but who have not yet obtained approval through DAS should contact DAS immediately at 737-4098.
    Course drop/add information is at
    Student Conduct: All students are expected to obey to OSU's student conduct regulations, see OSU's Statement of Expectations for Student Conduct at this link, and specifically the information about Academic or Scholarly Dishonesty beginning on p.2. In particular, please consult the definitions of (A) CHEATING, (C) ASSISTING, and (E) PLAGIARISM, as well as recommended handling.